Universal behavior of few-boson systems using potential models

Abstract

The universal behavior of a three-boson system close to the unitary limit is encoded in a simple dependence of many observables in terms of few parameters. For example the product of the three-body parameter ${\kappa }_{\ast }$ and the two-body scattering length $a$, ${\kappa }_{\ast }a$ depends on the angle $\xi$ defined by $E_3/E_2={\tan }^2\xi$. A similar dependence is observed in the ratio $a_{AD}/a$ with $a_{AD}$ the boson-dimer scattering length. We use a two-parameter potential to determine this simple behavior and, as an application, to compute $a_{AD}$ for the case of three ${}^4$He atoms.

arXiv commentpresented at the 23rd European Conference on Few-Body Problems in Physics

References in corpus (5)

• Universality in Few-body Systems with Large Scattering Length
• Universal nature and finite-range corrections in elastic atom-dimer scattering below the dimer breakup threshold
• The helium trimer with soft-core potentials
• Matching universal behavior with potential models
• Universal range corrections to the Efimov trimer for a class of paths to the unitary limit

Cited by in corpus (3)

• Subleading contributions to $N$-boson systems inside the universal window
• Synergy between deep neural networks and the variational Monte Carlo method for small ${}^{4}H{e}_N$ clusters
• Window for Efimov physics for few-body systems with finite-range interactions